Math

A golden rectangle has a length of 10 cm. The ratio of its length to its width is (1 + sqrt 5)/2 what is the width of the rectangle in simplified radical form? I need to know the formula to solve other problems like this.

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  1. 10/w = (1+√5)/2
    w = 10*2/(1+√5) = 20(√5-1)/(5-1) = 5(√5-1) = 10 * (√5-1)/2

  2. How did the 5 - 1 get on the denominator?

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  3. On step 2

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